{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "cell_id": "54aeccdbff374952a906db54f1ede88f",
    "deepnote_cell_type": "code",
    "deepnote_to_be_reexecuted": false,
    "execution_millis": 129651,
    "execution_start": 1672224015561,
    "source_hash": "19eb728c"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "文章主题： alt.atheism\n",
      "comp.graphics\n",
      "comp.os.ms-windows.misc\n",
      "comp.sys.ibm.pc.hardware\n",
      "comp.sys.mac.hardware\n",
      "comp.windows.x\n",
      "misc.forsale\n",
      "rec.autos\n",
      "rec.motorcycles\n",
      "rec.sport.baseball\n",
      "rec.sport.hockey\n",
      "sci.crypt\n",
      "sci.electronics\n",
      "sci.med\n",
      "sci.space\n",
      "soc.religion.christian\n",
      "talk.politics.guns\n",
      "talk.politics.mideast\n",
      "talk.politics.misc\n",
      "talk.religion.misc\n",
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      "  :\t:\n",
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     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from sklearn.datasets import fetch_20newsgroups_vectorized\n",
    "from tqdm import trange\n",
    "\n",
    "# normalize表示是否对数据归一化，这里我们保留原始数据\n",
    "# data_home是数据保存路径\n",
    "train_data = fetch_20newsgroups_vectorized(subset='train', \n",
    "    normalize=False, data_home='20newsgroups')\n",
    "test_data = fetch_20newsgroups_vectorized(subset='test', \n",
    "    normalize=False, data_home='20newsgroups')\n",
    "print('文章主题：', '\\n'.join(train_data.target_names))\n",
    "print(train_data.data[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "cell_id": "64f15354ca86449e882e48b39cfdcdc5",
    "deepnote_cell_type": "code",
    "deepnote_to_be_reexecuted": false,
    "execution_millis": 303465,
    "execution_start": 1672225352877,
    "source_hash": "7dbe3047"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "新闻数量： [480 584 591 590 578 593 585 594 598 597 600 595 591 594 593 599 546 564\n",
      " 465 377]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████████████████████████████████████████████████████████████████| 1787565/1787565 [03:30<00:00, 8505.68it/s]\n"
     ]
    }
   ],
   "source": [
    "# 统计新闻主题频率\n",
    "cat_cnt = np.bincount(train_data.target)\n",
    "print('新闻数量：', cat_cnt)\n",
    "log_cat_freq = np.log(cat_cnt / np.sum(cat_cnt))\n",
    "\n",
    "# 对每个主题统计单词频率\n",
    "alpha = 1.0\n",
    "# 单词频率，20是主题个数，train_data.feature_names是分割出的单词\n",
    "log_voc_freq = np.zeros((20, len(train_data.feature_names))) + alpha\n",
    "# 单词计数，需要加上先验计数\n",
    "voc_cnt = np.zeros((20, 1)) + len(train_data.feature_names) * alpha\n",
    "# 用nonzero返回稀疏矩阵不为零的行列坐标\n",
    "rows, cols = train_data.data.nonzero()\n",
    "for i in trange(len(rows)):\n",
    "    news = rows[i]\n",
    "    voc = cols[i]\n",
    "    cat = train_data.target[news] # 新闻类别\n",
    "    log_voc_freq[cat, voc] += train_data.data[news, voc]\n",
    "    voc_cnt[cat] += train_data.data[news, voc]\n",
    "\n",
    "log_voc_freq = np.log(log_voc_freq / voc_cnt)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "cell_id": "39400fcaba0c414ea3e38b17b26ae453",
    "deepnote_cell_type": "code",
    "deepnote_to_be_reexecuted": false,
    "execution_millis": 0,
    "execution_start": 1672225656383,
    "source_hash": "7a89b124"
   },
   "outputs": [],
   "source": [
    "def test_news(news):\n",
    "    rows, cols = news.nonzero()\n",
    "    # 对数后验\n",
    "    log_post = np.copy(log_cat_freq)\n",
    "    for row, voc in zip(rows, cols):\n",
    "        # 加上每个单词在类别下的后验\n",
    "        log_post += log_voc_freq[:, voc]\n",
    "    return np.argmax(log_post)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "cell_id": "d4f205f3d00841ecb2467b1b72027226",
    "deepnote_cell_type": "code",
    "deepnote_to_be_reexecuted": false,
    "execution_millis": 6870,
    "execution_start": 1672225656384,
    "source_hash": "f2402008"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "分类准确率： 0.7823951141795008\n"
     ]
    }
   ],
   "source": [
    "preds = []\n",
    "for news in test_data.data:\n",
    "    preds.append(test_news(news))\n",
    "acc = np.mean(np.array(preds) == test_data.target)\n",
    "print('分类准确率：', acc)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "cell_id": "2ca04985c0a2402984cbdd3c8bc525ea",
    "deepnote_cell_type": "code",
    "deepnote_to_be_reexecuted": false,
    "execution_millis": 466,
    "execution_start": 1672224889596,
    "source_hash": "adcfc6c4"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "分类准确率： 0.7728359001593202\n"
     ]
    }
   ],
   "source": [
    "from sklearn.naive_bayes import MultinomialNB\n",
    "\n",
    "mnb = MultinomialNB(alpha=alpha)\n",
    "mnb.fit(train_data.data, train_data.target)\n",
    "print('分类准确率：', mnb.score(test_data.data, test_data.target))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "cell_id": "168a0c3313654d9bbda5f3d88d002afe",
    "deepnote_cell_type": "code",
    "deepnote_to_be_reexecuted": false,
    "execution_millis": 1,
    "execution_start": 1661400807285,
    "id": "AE95EBFEA86B428E8B43EFF9B2956752",
    "jupyter": {},
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "source_hash": "999c87fd",
    "tags": []
   },
   "outputs": [],
   "source": [
    "import matplotlib.image as mpimg\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 读取原图\n",
    "orig_img = np.array(mpimg.imread('origimg.jpg'), dtype=int)\n",
    "orig_img[orig_img < 128] = -1 # 黑色设置为-1\n",
    "orig_img[orig_img >= 128] = 1 # 白色设置为1\n",
    "\n",
    "# 读取带噪图像\n",
    "noisy_img = np.array(mpimg.imread('noisyimg.jpg'), dtype=int)\n",
    "noisy_img[noisy_img < 128] = -1\n",
    "noisy_img[noisy_img >= 128] = 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "cell_id": "6c5986ad8ad44e049a9e889694a9a819",
    "deepnote_cell_type": "code",
    "deepnote_to_be_reexecuted": false,
    "execution_millis": 305,
    "execution_start": 1661402487475,
    "id": "B623F0EADC5B4F8C85BD5678402CEDB7",
    "jupyter": {},
    "scrolled": true,
    "slideshow": {
     "slide_type": "slide"
    },
    "source_hash": "4fbb3570",
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "带噪图像与原图不一致的像素比例：9.9386%\n"
     ]
    }
   ],
   "source": [
    "def compute_noise_rate(noisy, orig):\n",
    "    err = np.sum(noisy != orig)\n",
    "    return err / orig.size\n",
    "\n",
    "init_noise_rate = compute_noise_rate(noisy_img, orig_img)\n",
    "print (f'带噪图像与原图不一致的像素比例：{init_noise_rate * 100:.4f}%')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "cell_id": "99bd04de53a5459ba292b0f35a2bd297",
    "deepnote_cell_type": "code",
    "deepnote_to_be_reexecuted": false,
    "execution_millis": 1,
    "execution_start": 1661402511266,
    "source_hash": "778ac607",
    "tags": []
   },
   "outputs": [],
   "source": [
    "# 计算坐标(i, j)处的局部能量\n",
    "def compute_energy(X, Y, i, j, alpha, beta):\n",
    "    # X：当前图像\n",
    "    # Y：带噪图像\n",
    "    energy = -beta * X[i][j] * Y[i][j]\n",
    "    # 判断坐标是否超出边界\n",
    "    if i > 0:\n",
    "        energy -= alpha * X[i][j] * X[i - 1][j]\n",
    "    if i < X.shape[0] - 1:\n",
    "        energy -= alpha * X[i][j] * X[i + 1][j]\n",
    "    if j > 0:\n",
    "        energy -= alpha * X[i][j] * X[i][j - 1]\n",
    "    if j < X.shape[1] - 1:\n",
    "        energy -= alpha * X[i][j] * X[i][j + 1]\n",
    "    return energy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "cell_id": "938db5578ac3419caf16f89382cc7abe",
    "deepnote_cell_type": "code",
    "deepnote_to_be_reexecuted": false,
    "execution_millis": 41288,
    "execution_start": 1661402666847,
    "id": "3F2CC43427A24B0981C32015D2DF2EFB",
    "jupyter": {},
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "source_hash": "cf8708fb",
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "迭代轮数：0，噪声率：0.5632%\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "迭代轮数：1，噪声率：0.4071%\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "迭代轮数：2，噪声率：0.3993%\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "迭代轮数：3，噪声率：0.3979%\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "迭代轮数：4，噪声率：0.3975%\n"
     ]
    }
   ],
   "source": [
    "# 设置超参数\n",
    "alpha = 2.1\n",
    "beta = 1.0\n",
    "max_iter = 5\n",
    "\n",
    "# 逐像素优化\n",
    "# 复制一份噪声图像，保持网络中的Y不变，只优化X\n",
    "X = np.copy(noisy_img)\n",
    "for k in range(max_iter):\n",
    "    for i in range(X.shape[0]): # 枚举所有像素\n",
    "        for j in range(X.shape[1]):\n",
    "            # 分别计算当前像素取1和-1时的能量\n",
    "            X[i, j] = 1\n",
    "            pos_energy = compute_energy(X, noisy_img, i, j, alpha, beta)\n",
    "            X[i, j] = -1\n",
    "            neg_energy = compute_energy(X, noisy_img, i, j, alpha, beta)\n",
    "            # 将该像素设置为使能量最低的值\n",
    "            X[i, j] = 1 if pos_energy < neg_energy else -1\n",
    "    \n",
    "    # 展示图像并计算噪声率\n",
    "    plt.figure()\n",
    "    plt.axis('off')\n",
    "    plt.imshow(X, cmap='binary_r')\n",
    "    plt.show()\n",
    "    noise_rate = compute_noise_rate(X, orig_img) * 100\n",
    "    print(f'迭代轮数：{k}，噪声率：{noise_rate:.4f}%')"
   ]
  }
 ],
 "metadata": {
  "deepnote": {},
  "deepnote_execution_queue": [],
  "deepnote_notebook_id": "b5390381b079494f9873e64c4afaa080",
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.13"
  }
 },
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}
